λ
Ratio Atlas

462,516

22 × 3 × 38543
Abundant Even Composite

462,516 factors as 2^2 × 3 × 38543. Its 12 positive divisors give a proper-divisor sum of 616,716, so this integer is abundant. The Collatz stopping time is 76 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 38543
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,079,232
Proper Divisor Sum 616,716
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #462499 ← → #462529

Radix Representation

Decimal 462516
Binary 1110000111010110100 (19 bits)
Octal 0o1607264
Hexadecimal 0x70EB4

Divisor Catalog (12)

Collatz Trajectory (76 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

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